If you submerse/saturate clean then you should know what to do, so I'll presume you are rinse/extracting.
Subject to testing, clean Woolsafe with a handtool, agitate in direction of the pile and not aggressively, towel dry, groom, groom and groom, turbo dry.
Most silks will perimeter a motif/design within the pattern so will be more obvious once cleaned. I suppose it could be blended with the wool in a yarn but I'd have to ask "What's the point?"
Safe and happy cleaning
The Ken